Sebastián Dubarbier was born on 19 February 1986 in La Plata, Buenos Aires Province, starting to play football at local club, Gimnasia where he made his Argentine Primera División debut on 13 May 2006 when coach Pedro Troglio sent him on the field in order to replace Diego Herner in the 74th minute of a 2–0 home loss in front of Banfield.

[2][6][7] In January 2008, Dubarbier was transferred by CFR Cluj who paid Gimnasia €775.000, being presented at a press conference alongside fellow Argentinian Diego Ruiz.

[2][6][7][8][9] He made his Liga I debut on 23 February when coach Ioan Andone sent him on the 74th minute in order to replace André Leão in a 4–1 win over Universitatea Craiova.

[1][2][20] In February 2010, Dubarbier moved teams and countries again, joining Ligue 1 side Lorient who paid CFR Cluj 2 million€ for his transfer, being presented by coach Christian Gourcuff at a press conference alongside Grégory Bourillon.

[33] He left Galicia after only one match and retired in 2020 at Banfield where he made his last Argentine Primera División appearances, having a total of 69 games with two goals scored in the competition.

[6][7][8] In October 2008, while the 22-year-old Dubarbier was in Romania at CFR, he married Maria Minones in Cluj-Napoca in the same day as teammate and compatriot Cristian Sánchez Prette, the city's mayor, Emil Boc officiated the ceremony.

[36][37] Dubarbier claims he met Maria when they were both 14 years old in his native town of La Plata with him wearing a Romania's national team t-shirt with Gheorghe Hagi's name on it.